What Is the Principle of “Put-Call Parity” and How Does It Relate to a Synthetic Future?

Put-call parity is a fundamental concept in options pricing that states that a portfolio of a long European call and a short European put at the same strike and expiration must equal a forward contract (or future) on the same asset, plus the present value of the strike price. This relationship is enforced by arbitrage.

A synthetic future is a direct application of put-call parity, demonstrating that a specific combination of options can perfectly replicate the payoff of a futures contract.

How Does the Strike Price Impact the Risk/reward of a Covered Call?
What Is a ‘Synthetic Forward Contract’ and How Can a Token Replicate It?
Explain the Concept of “Put-Call Parity.”
What Happens to the Moneyness of a Call and a Put Option If the Underlying Asset’s Price Equals the Strike Price Exactly at Expiration?
Explain the Concept of ‘Put-Call Parity’ and How It Applies to European Options
Write the Basic Mathematical Formula for Put-Call Parity (Using P, C, S, K, T, R).
Explain the Concept of ‘Put-Call Parity’ in Options Pricing
Can Put-Call Parity Be Applied to American-Style Options?

Glossar